Question

if area of the square shaped garden is (4x²+12xy+9y²)m²,then find the side of the garden [hint:(a²+2ab+b²) =(a+b)²]​

Answer 1

We know that

Area of the square = (side)²

Now, factorising the given expression,

$= {4x}^{2} + 12xy + {9y}^{2} \\ \\ = {(2x)}^{2} + 2 \times 2 \times 3y + (3y)^{2} \\ \\ = (2x + 3y)^{2}$

Hence, the side of the square = (2x+3y)

$\tiny\texttt{ hope it's helps }$